Keyword

multivariate integration

Description: The process of integrating functions of several variables, including evaluating multiple integrals in calculus and mathematical analysis.

Primary topic: Mathematical Approximation and Integration (68%)

Related topics: Mathematical Approximation and Integration (68%), Mathematical functions and polynomials (8%)

OpenAlex ID: keywords/multivariate-integration

When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?

1998 · Ian H Sloan, Henryk Woźniakowski · Journal of Complexity · 606

Transcriptomic and metabolomic data integration

2015 · Rachel Cavill, Danyel Jennen, et al. · Briefings in Bioinformatics · 330

An encyclopaedia of cubature formulas

2003 · Ronald Cools · Journal of Complexity · 259

Classical Estimation Methods for Ldv Models Using Simulation

1993 · Vassilis A. Hajivassiliou, Paul A. Ruud · London School of Economics and Political Science Research Online (London School of Economics and Political Science) · 237

Analytical Variance-Based Global Sensitivity Analysis in Simulation-Based Design Under Uncertainty

2004 · Wei Chen, Ruichen Jin, et al. · Journal of Mechanical Design · 230

Constructing cubature formulae: the science behind the art

1997 · Ronald Cools · Acta Numerica · 187

The Theory of Cubature Formulas

1997 · S. L. Sobolev, V. L. Vaskevich · Springer eBooks · 181

Average case complexity of multivariate integration

1991 · H. Woźniakowski · Bulletin of the American Mathematical Society · 173

Chapter 40 Classical estimation methods for LDV models using simulation

1994 · Vassilis A. Hajivassiliou, Paul A. Ruud · Handbook of econometrics · 168

Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces

2003 · F.Y. Kuo · Journal of Complexity · 156

The inverse of the star-discrepancy depends linearly on the dimension

2001 · Stefan Heinrich, Henryk Woźniakowski, et al. · Acta Arithmetica · 141

Kubaturformeln mit minimaler Knotenzahl

1976 · H. M. M�ller · Numerische Mathematik · 136

Tractability of Multivariate Integration for Weighted Korobov Classes

2001 · Ian H. Sloan, Henryk Woźniakowski · Journal of Complexity · 132

Constructing Embedded Lattice Rules for Multivariate Integration

2006 · Ronald Cools, Frances Y. Kuo, et al. · SIAM Journal on Scientific Computing · 122

Good Lattice Rules in Weighted Korobov Spaces with General Weights

2006 · Josef Dick, Ian H. Sloan, et al. · Numerische Mathematik · 111

MINT: a multivariate integrative method to identify reproducible molecular signatures across independent experiments and platforms

2017 · F. Rohart, A. Eslami, et al. · BMC Bioinformatics · 108

Construction of fully symmetric numerical integration formulas of fully symmetric numerical integration formulas

1967 · J. McNamee, F. Stenger · Numerische Mathematik · 103

Integration and approximation in arbitrary dimensions

2000 · F.J. Hickernell, H. Woźniakowski · Advances in Computational Mathematics · 101

Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces

2004 · Josef Dick, Friedrich Pillichshammer · Journal of Complexity · 92

Optimal tolerance allotment using a genetic algorithm and truncated Monte Carlo simulation

1993 · J. Lee, G.E. Johnson · Computer-Aided Design · 89

On the convergence rate of the component-by-component construction of good lattice rules

2004 · Josef Dick · Journal of Complexity · 82

An Imbedded Family of Fully Symmetric Numerical Integration Rules

1983 · A. C. Genz, A. A. Malik · SIAM Journal on Numerical Analysis · 82

Quasi–Monte Carlo Constructions

2008 · Christiane Lemieux · Springer series in statistics · 80

Liberating the weights

2003 · Josef Dick, Ian H. Sloan, et al. · Journal of Complexity · 78

Intractability Results for Integration and Discrepancy

2001 · Erich Novak, H. Woźniakowski · Journal of Complexity · 76

Works count: 496

Citation count: 7,757